Covering the plane with convex polygons |
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Authors: | János Pach |
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Affiliation: | (1) Department of Mathematics, State University of New York at Stony Brook, 11794 Stony Brook, NY;(2) Mathematical Institute of the Hungarian Academy of Sciences, Pf. 127, 1364 Budapest |
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Abstract: | It is proved that for any centrally symmetric convex polygonal domainP and for any natural numberr, there exists a constantk=k(P, r) such that anyk-fold covering of the plane with translates ofP can be split intor simple coverings. |
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